will be considered, where \(\varepsilon \)  is a real infinitesimal parameter and where
\(\eta ^{\mu }(\phi ,x)\) , \(\psi (\phi ,x)\)  are smooth functions not dependent on the field derivatives. Dynamical symmetries, where the transformation law involves the field derivatives, are fundamental in many cases [1]}.
For instance, the derivation of the infinite hierarchy of conserved functionals for the Korteweg-de Vries equation [2]} needs the application of dynamical symmetries. Nevertheless, for simplicity this work is restricted to point transformations only.
